Algebra 1: Unit 3A Study Guide Name:

Factor out the Greatest Common Factor (GCF)2. 15x-3y 3. + + 15x

4. What is the greatest common factor 5. What is a common factor of x2 —4 andof - 9x3 +

OX

Factor trinomials when a = 17. x2 - IN +36

(1-+1 )

+ x-90

( 1-10) (

Factor using the difference of two squares (DOTS).12. 3x2 -75 13. *-81

ll.* + 4x- 12

14. 2x2 - 50

xa - 25)

Factor trinomials when a is gre n 1. (Bottoms Up!)15. 2 - 5x -

ma-5ic 1-91ø_l)

18

Multiple Choice:

21.Factor: -5 -3

O(2x +

heø

16. 2 + 5x - I

19 2 - 6x

( x -22(x-2

F+K-30

20

—(61-1)/33-1)

22. Factor: x2 - 7x - 6 23. Factor:

b na -Qx-18

(R ax t')

24 Which of the followingCORRECTLY factors out thegreatest common factor of

05x 3 + 20x?

5(x2 + 4)

5X(x2 + 4)

c) 5(x 3 + 4x)d) 5x(x3 + 4x)

27. The area of a rectangleis 3x2 — I()x + 7. The width is3x — 7. What is the length ofthe rectangle?

30.Which sxpæssien is afactor of 2x2 — x

C x ax +1)

33. The volume of a cube isx3 -7x2 + 12x, and one of thedimensions is x, what wouldbe the length of the missingdimensions?

x

25. What is the correctfactorization of

x2 - 2x - 24?

a) -1012 1kb (x— 2)(x+ 12)c) (x + -6) -21-74

28. Determine whetherx 2 — 36 is a difference of twosquares. If so, choose thecorrect factoriz tion.

a) Noyes; (x — 6)2

c Yes; (x— + 6)Yes; (x +

31. Which of the following isa quadratic expression?

cX?orcm IS Zb)4x + 2

34 What is the first stepalways when factoring?

a. actor out CCFb. Multiply the first and

last terms togetherc.Use difference of two

squares (DOTS)d. Distributive property

26. Which value of b wouldmake x2 + bx 20factorable?

2/10

x a +& X-20

c) 10

29. When multiplied, whichof the following gives you

add mu

(x—3)(x+ l) --9-F3

—913

32. Which of the followingusing GCF, then usesdifference of perfectsquares?

a) (-e(xa

b) 2x2-18 alxa-.

d) 10 Trinom)4J